The Australian government reports that Australia’s fertility rate is 1.42 children per woman. This is the average number of children per Australian women of child-bearing age. What type of “average” is this likely to be?

Question

The Australian government reports that Australia’s fertility rate is 1.42 children per woman. This  is the average number of children per Australian women of child-bearing age. What type of “average” is this likely to be?

BlackTom AI · Accepted Answer

This is an arithmetic mean (the usual “mean”): the total number of children divided by the total number of women of child‑bearing age.

1. Relevant knowledge points and concepts
- Arithmetic mean: sum of values divided by count of values; commonly used to report an average per person.
- Median: the middle value when data are ordered.
- Mode: the most frequent value.
- Total fertility rate / fertility rate as reported: expressed as “children per woman,” which corresponds to an average number of children per woman.

2. Step‑by‑step reasoning
- The phrase “average number of children per Australian women of child‑bearing age” implies we aggregate children and then divide by the number of women to get children per woman.
- That aggregation and division is exactly the arithmetic mean operation.

3. Intermediate/calculation example
- Example: if 5 women have children counts 0, 1, 1, 2, 3, the arithmetic mean = (0+1+1+2+3)/5 = 7/5 = 1.4 children per woman.
- The reported 1.42 is the same type of calculation averaged across the whole population (or derived from age‑specific fertility rates summed into a per‑woman average).

4. Why the correct answer is correct
- “Children per woman” is inherently a per‑person average: total children / total women. That is the definition of the arithmetic mean. Even when demographers compute a period total fertility rate by summing age‑specific rates, the result is interpreted as the average number of children a woman would have—again an average expressed as a mean.

5. Why other options are incorrect
- Median: would give the middle woman’s number of children, not “children per woman” across the population.
- Mode: would report the most common number of children (e.g., 1 child), not the average value.
- Geometric/harmonic means: are used for multiplicative rates or rates inversely related to quantities, not counts of children per person.

6. Conclusion
The correct classification is Mean, which matches the provided answer.

The Australian government reports that Australia’s fertility rate is 1.42 children per woman. This is the average number of children per Australian women of child-bearing age. What type of “average” is this likely to be?单项选择题

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